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The Laplace transform of $$e^{at} \cos \omega t$$
$$\frac{(s-a)}{(s-a)^{2}+\omega^{2}}$$
$$\frac{\omega}{(s-a)^{2}+\omega^{2}}$$
$$\frac{a}{(s-a)^{2}+\omega^{2}}$$
$$\frac{S}{(s-a)^{2}+\omega^{2}}$$
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